#include using namespace std; using Int = long long; const char newl = '\n'; template inline void chmin(T1 &a,T2 b){if(a>b) a=b;} template inline void chmax(T1 &a,T2 b){if(a void drop(const T &x){cout< vector read(size_t n){ vector ts(n); for(size_t i=0;i>ts[i]; return ts; } template struct Mint{ static constexpr T mod = MOD; T v; Mint():v(0){} Mint(signed v):v(v){} Mint(long long t){v=t%MOD;if(v<0) v+=MOD;} Mint pow(long long k){ Mint res(1),tmp(v); while(k){ if(k&1) res*=tmp; tmp*=tmp; k>>=1; } return res; } static Mint add_identity(){return Mint(0);} static Mint mul_identity(){return Mint(1);} Mint inv(){return pow(MOD-2);} Mint& operator+=(Mint a){v+=a.v;if(v>=MOD)v-=MOD;return *this;} Mint& operator-=(Mint a){v+=MOD-a.v;if(v>=MOD)v-=MOD;return *this;} Mint& operator*=(Mint a){v=1LL*v*a.v%MOD;return *this;} Mint& operator/=(Mint a){return (*this)*=a.inv();} Mint operator+(Mint a) const{return Mint(v)+=a;} Mint operator-(Mint a) const{return Mint(v)-=a;} Mint operator*(Mint a) const{return Mint(v)*=a;} Mint operator/(Mint a) const{return Mint(v)/=a;} Mint operator-() const{return v?Mint(MOD-v):Mint(v);} bool operator==(const Mint a)const{return v==a.v;} bool operator!=(const Mint a)const{return v!=a.v;} bool operator <(const Mint a)const{return v constexpr T Mint::mod; template ostream& operator<<(ostream &os,Mint m){os< rs,ps; UnionFind(){} UnionFind(Int n):num(n),rs(n,1),ps(n,0){iota(ps.begin(),ps.end(),0);} Int find(Int x){ return (x==ps[x]?x:ps[x]=find(ps[x])); } bool same(Int x,Int y){ return find(x)==find(y); } void unite(Int x,Int y){ x=find(x);y=find(y); if(x==y) return; if(rs[x] struct FixPoint : F{ FixPoint(F&& f):F(forward(f)){} template decltype(auto) operator()(Args&&... args) const{ return F::operator()(*this,forward(args)...); } }; template inline decltype(auto) MFP(F&& f){ return FixPoint{forward(f)}; } //INSERT ABOVE HERE signed main(){ cin.tie(0); ios::sync_with_stdio(0); Int n,m,x; cin>>n>>m>>x; UnionFind uf(n); using P = pair; vector> G(n); for(Int i=0;i>a>>b>>c; a--;b--; if(uf.same(a,b)) continue; uf.unite(a,b); G[a].emplace_back(b,c); G[b].emplace_back(a,c); } using M = Mint; M ans{0}; MFP([&](auto dfs,Int v,Int p)->Int{ Int res=1; for(auto[u,c]:G[v]){ if(u==p) continue; Int tmp=dfs(u,v); res+=tmp; ans+=M(n-tmp)*M(tmp)*M(x).pow(c); } return res; })(0,-1); cout<